Publications: Journals

Transcription

1 Publications: Journals 1. J.J.A. Rodal, D.J. Steigmann and E.A. Witmer, 1983, Numerical simulation of transient finite deformations of thin beams. ASME J. Appl. Mech. 50, D.J. Steigmann, 1986, The plane problem of orthotropic elastic contact. ASME J. Appl. Mech. 53, D.J. Steigmann, 1986, Proof of a conjecture in elastic membrane theory. ASME J. Appl. Mech. 53, D.J. Steigmann and A.C. Pipkin, 1988, Stability of harmonic materials in plane strain. Quart. Appl. Math. 46, D.J. Steigmann and A.C. Pipkin, 1989, Finite deformations of wrinkled membranes. Quart. J. Mech. Appl. Math. 42, D.J. Steigmann and A.C. Pipkin, 1989, Axisymmetric tension fields. J. Appl. Math. Phys. (ZAMP). 40, D.J. Steigmann and A.C. Pipkin, 1989, Wrinkling of pressurized membranes. ASME J. Appl. Mech. 56, D.J. Steigmann, 1990, Tension-field theory. Proc. R. Soc. Lond. A429, D.J. Steigmann, 1990, Flexure of a pressurized membrane tube. ASME J. Appl. Mech. 57, D.J. Steigmann, 1990, Minimum-energy configurations of elastic cable networks. Trans. Canad. Soc. Mech. Engng. 14, D.J. Steigmann, 1991, A note on pressure potentials. J. Elasticity. 26, D.J. Steigmann, 1991, Analysis of a theory of elasticity for masonry solids. J. Mech. Phys. Solids. 39, D.J. Steigmann and A.C. Pipkin, 1991, Equilibrium of elastic nets. Phil. Trans. R. Soc. Lond. A335, D.J. Steigmann, 1992, Equilibrium of pre-stressed networks. IMA J. Appl. Math. 48, D.J. Steigmann, 1992, Cavitation in elastic membranes. J. Elasticity. 28, D.J. Steigmann and M.G. Faulkner, 1993, Variational theory for spatial rods. J. Elasticity. 33, M.G. Faulkner and D.J. Steigmann, 1993, Controllable deformations of spatial rods. Acta Mechanica. 101, X. Li and D.J. Steigmann, 1993, Finite plane twist of an annular membrane. Quart. J. Mech. Appl. Math. 46, E. Haseganu and D.J. Steigmann, 1994, Theoretical flexural response of a pressurized membrane tube. Int. J. Solids & Structures. 31, D. Roxburgh, D.J. Steigmann and R.J. Tait, 1994, Azimuthal shearing and transverse deflection of an annular elastic membrane. Int. J. Engng. Sci. 33, E. Haseganu and D.J. Steigmann, 1994, Analysis of partly wrinkled membranes by the method of dynamic relaxation. Computational Mechanics 14, D.J. Steigmann and D. Li, 1995, A theory of elasticity for fluid films. Proc. R. Soc. Lond. A449, X. Li and D.J. Steigmann, 1995, Point loads on a hemispherical elastic membrane. Int. J. Nonlinear Mech. 30, X. Li and D.J. Steigmann, 1995, Finite deformation of a pressurized toroidal membrane. Int. J. Non-linear Mech. 30, D.J. Steigmann and D. Li, 1995, Energy minimizing states of capillary systems with bulk, surface and line phases. IMA J. Appl. Math. 55, E. Haseganu and D.J. Steigmann, 1996, Equilibrium analysis of finitely deformed elastic networks. Computational Mechanics 17, Li, D.Q. and Steigmann, D.J., 1996, Positive line tension as a requirement of stable equilibrium. Colloids & Surfaces A- Physicochemical and Engineering Aspects. 116,

2 28. R.J. Tait, D.J. Steigmann and J.L. Zhong, 1996, Finite twist and extension of a cylindrical elastic membrane. Acta Mechanica 117, D.J. Steigmann, 1996, Variational structure of a nonlinear theory for spatial lattices. Meccanica 31, D.J. Steigmann and R.W. Ogden, 1997, Plane deformations of elastic solids with intrinsic boundary elasticity. Proc. R. Soc. Lond. A453, D.J. Steigmann and R.W. Ogden, 1997, A necessary condition for energy minimizing plane deformations of elastic solids with intrinsic boundary elasticity. Math. Mech. Solids 2, A. Atai and D.J. Steigmann, 1997, On the nonlinear mechanics of discrete networks. Arch. Appl. Mech. 67, M. Wang and D.J. Steigmann, 1997, Small oscillations of finitely deformed elastic networks. J. Sound & Vibration 202, R.W. Ogden, D.J. Steigmann and D.M. Haughton, 1997, The effect of elastic surface coating on the finite deformation and bifurcation of a pressurized circular annulus. J. Elasticity 47, A. Atai and D.J. Steigmann, 1998, Coupled deformations of elastic curves and surfaces. Int. J. Solids & Structures 35, R.W. Ogden, G. Dryburgh and D.J. Steigmann, 1998, The effect of elastic surface coating on the bending of an incompressible elastic block. Zeitschrift fur Angewandte Mathematik und Mechanik 78, D.J. Steigmann and R.W. Ogden, 1999, Elastic surface-substrate interactions. Proc. R. Soc. Lond. A455, D.J. Steigmann, 1999, On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells. Math. Mech. Solids 4, D.J. Steigmann, 1999, Fluid films with curvature elasticity. Archive for Rational Mechanics and Analysis 150, J.W. Yokota, S.A. Bekele and D.J. Steigmann, 2001, Simulating the nonlinear dynamics of an elastic cable. AIAA Journal 39, R.W. Ogden and D.J. Steigmann, 2002, Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation. J. Mech. Phys. Solids 50, T.I. Zohdi and D.J. Steigmann, 2002, The toughening effect of microscopic filament misalignment on macroscopic ballistic fabric response. Int. J. Fracture 115, L D.J. Steigmann, 2002, Invariants of the stretch tensors and their application to finite elasticity theory. Math. Mech. Solids 7, D.J. Steigmann and L.T. Wheeler, 2003, Uniqueness of equilibrium displacements in classical linear elasticity. Math. Mech. Solids 8, D.J. Steigmann, 2003, Irreducible function bases for simple fluids and liquid crystal films. ZAMP 54, D.J. Steigmann, 2003, An analysis of J.F. Bell's research on the finite twist and extension of thin-walled polycrystalline cylindrical tubes. Meccanica 38, D.J. Steigmann, 2003, On isotropic, frame-invariant, polyconvex strain-energy functions. Q. J. Mech. Appl. Math. 56, D.J. Steigmann, 2003, Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Math. Mech. Solids 8, (addendum: MMS 9, (2004)). 49. D.J. Steigmann et al, 2003, On the variational theory of cell-membrane equilibria. Interfaces and Free Boundaries 5, B. Nadler and David J. Steigmann, 2003, A model for frictional slip in woven fabrics. Comptes Rendus: Mecanique 331, D.J. Steigmann, 2004, Equilibrium theory for magnetic elastomers and magnetoelastic membranes. Int. J. Non-linear Mech. 39, D.J. Steigmann, 2005, An infinitude of constant-energy flows of a gas. Theoretical & Computational Fluid Dynamics 18, D.J. Steigmann, 2005, Puncturing a thin elastic sheet. Int. J. Non-linear Mech. 40, B. Nadler, P. Papadopoulos and D.J. Steigmann, 2006, Multi-scale constitutive modeling and numerical analysis of fabric material. Int. J. Solids & Structures 43, (corrigendum: IJSS 43, , 2006).

3 55. D.J. Steigmann, 2006, On pseudo-rigid bodies. Proc. R. Soc. Lond. A462, M. Taylor and D.J. Steigmann, 2006, Entropic thermoelasticity of thin polymeric films. Acta Mechanica 183, B. Nadler, P. Papadopoulos and D.J. Steigmann, 2006, Convexity of the strain-energy function in a two-scale model of ideal fabrics. J. Elasticity 84, B. Nadler and D.J. Steigmann, 2006, Modeling the indentation, penetration and cavitation of elastic membranes. J. Mech. Phys. Solids 54, D.J. Steigmann, 2007, On the frame invariance of linear elasticity theory. ZAMP 58, D.J. Steigmann, 2007, Thin-plate theory for large elastic deformations. Int. J. Non-linear Mech. 42, D.J. Steigmann, 2007, Asymptotic finite-strain thin-plate theory for elastic solids. Computers and Mathematics with Applications 53, M. Barham, D.J. Steigmann, M. McElfresh and R.E. Rudd, 2007, Finite deformation of a pressurized magnetoelastic membrane in a stationary dipole field. Acta Mechanica 191, (erratum: Acta Mech. 221, pp , 2011). 63. D.J. Steigmann and R.W. Ogden, 2007, Surface waves supported by thin-film/substrate interactions. IMA J. Appl. Math. 72, A. Gupta, D.J. Steigmann and J.S. Stolken, 2007, On the evolution of plasticity and incompatibility. Math. Mech. Solids 12, D.J. Steigmann, 2007, A simple model of the Treloar-Kearsley instability. Math. Mech. Solids 12, D.J. Steigmann, 2008, Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity. Int. J. Engng. Sci. 46, A. Agrawal and D.J. Steigmann, 2008, Coexistent fluid-phase equilibria in biomembranes with bending elasticity. J. Elasticity 93, M. Barham, D.J. Steigmann, M. McElfresh and R.E. Rudd, 2008, Limit-point instability of a magnetoelastic membrane in a stationary magnetic field. J. Smart Mater. Struct. 17, D.J. Steigmann, 2009, On the formulation of balance laws for electromagnetic continua. Math. Mech. Solids 14, M. Taylor and D.J. Steigmann, 2009, Simulation of laminated thermoelastic membranes. J. Thermal Stresses 32, D.J. Steigmann, 2009, Linear theory for the bending and extension of a thin, residually stressed, fiber-reinforced lamina. Int. J. Engng. Sci. 47, A. Agrawal and D.J. Steigmann, 2009, Modeling protein-mediated morphology in biomembranes. Biomechanics and Modeling in Mechanobiology 8, A. Agrawal and D.J. Steigmann, 2009, Boundary-value problems in the theory of lipid membranes. Continuum Mech. Thermodyn. 21, D.J. Steigmann, 2009, A concise derivation of membrane theory from three-dimensional nonlinear elasticity. J. Elasticity 97, M. Barham. D. White, D.J. Steigmann and R.E. Rudd, 2009, Finite-element modeling of the deformation of a thin magnetoelastic film compared to a membrane model. IEEE Trans. Magnetics 45, M. Barham, D. White and D.J. Steigmann, 2010, Finite-element modeling of the deformation of magnetoelastic film. J. Computational Physics. 229, D.J. Steigmann, 2010, Elastic waves interacting with a thin, pre-stressed, fiber-reinforced surface film. Int. J. Engng. Sci. 48, A. Gupta, D.J. Steigmann and J.S. Stolken, 2011, Aspects of the phenomenological theory of elastic-plastic deformation. J. Elasticity 104, J. Edmiston, N. Barton, J. Bernier, G. Johnson and D.J. Steigmann, 2011, Precision of lattice strain and orientation measurements using high energy monochromatic X-ray diffraction. J. Appl. Crystallography 44, A. Agrawal and D.J. Steigmann, 2011, A model for surface diffusion of trans-membrane proteins on lipid bilayers. ZAMP 62, D.J. Steigmann and A. Gupta, 2011, Mechanically equivalent elastic-plastic deformations and the problem of plastic spin. Theoretical and Applied Mechanics 38,

4 82. D.J. Steigmann, 2012, Extension of Koiter's linear shell theory to materials exhibiting arbitrary symmetry. Int. J. Engng. Sci. 51, M. Barham, D.J. Steigmann and D. White, 2012, Magnetoelasticity of highly deformable thin films: theory and simulation. Int. J. Non-linear Mech. 47, D.J. Steigmann, 2012, Refined theory for linearly elastic plates: laminae and laminates. Math. Mech. Solids 17, (corrigendum: MMS 17 (2012), 666) 85. A. Gupta and D.J. Steigmann, 2012, Plastic flow in solids with interfaces. Mathematical Methods in the Applied Sciences 35, D.J. Steigmann and R.W. Ogden, 2012, Note on residual stress, lattice orientation and dislocation density in crystalline solids. J. Elasticity 109, D.J. Steigmann, 2012, Theory of elastic solids reinforced with fibers resistant to extension, flexure and twist. Int. J. Non-linear Mech. 47, A. Atai and D.J. Steigmann, 2012, Modeling and simulation of sutured biomembranes. Mech. Res. Comm. 46, D.J. Steigmann, 2013, Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity. J. Elasticity 111, G. Templet and D.J. Steigmann, 2013, Diffusion and swelling in finitely deforming elastomers. Math. Mech. Compl. Sys. 1, P. Rangamani, A. Agrawal, K. Mandadapu, G. Oster and D. J. Steigmann, 2013, Interaction between surface shape and intra-surface viscous flow on lipid membranes. Biomechanics and Modeling in Mechanobiology 12, J. Edmiston, D.J. Steigmann, G.J. Johnson and N. Barton, 2013, A model for elasticviscoplastic deformations of crystalline solids based on material symmetry: theory and planestrain simulations. Int. J. Eng. Sci. 63, D.J. Steigmann, 2013, A well-posed finite-strain model for thin elastic sheets with bending stiffness. Math. Mech. Solids 13, D.J. Steigmann, 2013, A model for lipid membranes with tilt and distension based on threedimensional liquid crystal theory. Int. J. Non-lin. Mech. 56, (Corrigendum: IJNLM 82, pg. 131, 2016). 95. D.J. Steigmann and R.W. Ogden, 2014, Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. ZAMM 94, M. Taylor, K. Bertoldi and D.J. Steigmann, 2014, Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain. J. Mech. Phys. Solids 62, P. Rangamani, A. Benjamani, A. Agrawal, B. Smit, D.J. Steigmann and G. Oster, 2014, Small scale membrane mechanics. Biomechanics and Modeling in Mechanobiology 13, J. Krishnan and D.J. Steigmann, 2014, A polyconvex framework for isotropic elastoplasticity theory. IMA J. Applied Math. 79, A. Atai and D.J. Steigmann, 2014, Numerical analysis of wrinkled, anisotropic, nonlinearly elastic membranes. Mech. Res. Comm. 57, A. Gupta and D.J. Steigmann, 2014, Plane-strain problem for elastically rigid finite plasticity. Q. J. Mech. Appl. Math. 67, A. de Feraudy, M. Queguineur and D.J. Steigmann, 2014, On the natural shape of a plastically deformed thin sheet. Int. J. Non-lin. Mech. 67, M. Tartibi, D.J. Steigmann and K. Komvopoulos, 2014, A reverse updated Lagrangian finite element formulation for determining material properties from measured force and displacement data. Computational Mechanics 54, A. Atai and D.J. Steigmann, 2014, Transient elastic-viscoplastic dynamics of thin sheets. J. Mech. Mat. Struct. 9-5, P. Rangamani and D.J. Steigmann, 2014, Variable tilt on lipid membranes. Proc. Roy. Soc. London A 470: (doi.org/ /rspa ) F. dell Isola and D.J. Steigmann, 2015, A two-dimensional gradient-elasticity theory for woven fabrics. J. Elasticity 18, D.J. Steigmann, 2015, Mechanics of materially-uniform thin films. Math. Mech. Solids 20, C.-I. Kim and D.J. Steigmann, 2015, Distension-induced gradient capillarity in lipid membranes. Continuum Mech. Thermodyn. 27,

5 108. M. Taylor and D.J. Steigmann, 2015, A two-dimensional peridynamic model for thin plates. Math. Mech. Solids 20, P. Neff, J. Lankeit, I.-D. Ghiba, R. Martin and D.J. Steigmann, 2015, The exponentiated Hencky-logarithmic strain energy. Part 2: Coercivity, planar polyconvexity and existence of minimizers. ZAMP 66, D.J. Steigmann and F. dell Isola, 2015, Mechanical response of fabric sheets to threedimensional bending, twisting and stretching. Acta Mechanica Sinica 31, I. Giorgio, R. Grygoruk, F. dell Isola and D.J. Steigmann, 2015, Pattern formation in the three-dimensional deformations of fibered sheets. Mech. Res. Comm. 69, S. Ebrahimi, D.J. Steigmann and K. Komvopoulos, 2015, Peridynamic analysis of the nanoscale friction and wear properties of amorphous carbon thin films. J. Mech. Mat. Struct. 10, F. dell Isola, M. d Agostino, A. Madeo, P. Boisse and D.J. Steigmann, 2016, Minimization of shear energy in two-dimensional continua with two orthogonal families of inextensible fibers: the case of the standard bias extension test. J. Elasticity 122, F. dell Isola, D.J. Steigmann and A. Della Corte, 2016, Synthesis of fibrous complex structures: designing microstructure to deliver targeted macro-scale response. Applied Mech. Reviews 67(6): (doi: / ) D.J. Steigmann and A. Agrawal, 2016, Electromechanics of polarized lipid bilayers. Math. Mech. Compl. Sys. 4-1, (doi: /memocs ) 116. I. Giorgio, A. Della Corte, F. dell Isola and D.J. Steigmann, 2016, Buckling modes in pantographic lattices. Comptes Rendus: Mecanique II B 344, M. Tartibi, D.J. Steigmann and K. Komvopoulos, 2016, An inverse finite element method for determining residual stress fields in solids. Comp. Mech. 58, R. Sauer, T.X. Duong, K.K. Mandadapu and D.J. Steigmann, 2017, A stabilized finite element formulation for liquid shells and its application to lipid bilayers. J. Comp. Phys. 330, J. Wang, D.J. Steigmann, F.-F. Wang, H.-H. Dai, 2018, On a consistent finite-strain plate theory of growth. J. Mech. Phys. Solids 111, D.J. Steigmann, 2017, Equilibrium of elastic lattice shells. J. Engng. Math. (doi: /s y) C. Goodbrake and D.J. Steigmann, 2017, Mechanics of an elastic membrane infused with a liquid. Int. J. Mech. Sci. (in press) V. Eremeyev, F. dell Isola, C. Boutin and D.J. Steigmann, 2017, Linear pantographic sheets: existence and uniqueness of weak solutions. J. Elasticity (in press). Books and Book Chapters 1. D.J. Steigmann, Tension-field theories of elastic membranes and networks, in: 'Recent Developments in Elasticity', R.C. Batra and G.P. McSithigh (eds.), ASME-AMD vol. 124, pp , D.J. Steigmann, Elements of the theory of elastic surfaces, in: Nonlinear Elasticity: Theory and Applications, edited by Y.B. Fu and R.W. Ogden, LMS Lecture Notes no. 283, Cambridge University Press, pp , Cheng Luo and D.J. Steigmann, Bending and twisting effects in the three-dimensional finite deformations of an inextensible network, in: Developments in Shell Theory (D. Durban et al, eds.) Technion volume to commemorate the 70th birthday of A. Libai. Advances in the Mechanics of Plates and Shells, Kluwer Academic Publishers, pp , D.J. Steigmann, 'Eliza Haseganu's analysis of wrinkling in pressurized membranes'. Chapter 1 in Advances in the Mechanics of Solids (in memory of E.M. Haseganu). Vol. 15 of Stability, Vibration and Control of Systems, Series B. World Scientific, Singapore, pp. 3-16, A. Gupta and D.J. Steigmann, Kinematics (Chapter 1) and Balance Laws (Chapter 2), in: Continuum Mechanics (J. Merodio and G. Saccomandi, eds.). UNESCO Eolss Publishers, October 2009.

6 6. D.J. Steigmann, Applications of Polyconvexity and Strong Ellipticity to Nonlinear Elasticity and Elastic Plate Theory, in: CISM Course on Applications of Poly-, Quasi-, and Rank-One Convexity in Applied Mechanics, vol. 516 (J. Schroder and P. Neff, eds.). Springer, Wien and New York, pp , D.J. Steigmann, Recent developments in the theory of nonlinearly elastic plates and shells, in: Shell Structures, Theory and Applications, vol. 2 (W. Pietraszkiewicz and I. Krepa, eds.). Proc. 9 th SSTA Conf. CRC Press, Boca Raton, pp , A. Agrawal and D.J. Steigmann, Mechanics of Cellular Membranes, in: Computational Modeling in Biomechanics (De et al, eds). Springer Netherlands, pp , J. Edmiston and D.J. Steigmann, Analysis of Nonlinear Electroelastic Membranes, in: CISM Course on Nonlinear Continuum Electrodynamics, no. 527 (R.W. Ogden and D.J. Steigmann, eds.). Springer, Wien and New York, pp , D.J. Steigmann, Surface waves in elastic half spaces coated with crystalline films, in: CISM Course on Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism, vol. 547 (R. Craster and J. Kaplunov, eds.). Springer, Wien and New York, pp , D.J. Steigmann, Effects of fiber bending and twisting resistance on the mechanics of fiberreinforced elastomers, in: CISM Course on Nonlinear Mechanics of Soft Fibrous Tissues, vol. 559 (L. Dorfmann and R.W. Ogden, eds.). Springer, Wien and New York, pp , D.J. Steigmann, 2017, Finite Elasticity Theory. Oxford University Press. 13. D.J. Steigmann, Mechanics and physics of lipid bilayers, in: CISM Course on The Role of Mechanics in the Study of Lipid Bilayers, vol. 577 (D.J. Steigmann, ed.). Springer, Singapore, pp. 1-61, 2018.